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Finding the Third Proportional to 18,780 and 27,447.75

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Solution

The third proportional to 18,780 and 27,447.75 is: 40,116.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,780 : 27,447.75 = 27,447.75 : x
  2. Step 2: Convert to fraction form
    18,780/27,447.75 = 27,447.75/x
  3. Step 3: Cross multiply
    18,780x = 27,447.75 × 27,447.75
  4. Step 4: Simplify right side
    18,780x = 753,378,980.06
  5. Step 5: Solve for x
    x = 753,378,980.06/18,780
  6. Step 6: Final answer
    x = 40,116.03

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.